Greatest Common Factor of 12200 and 12206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 12200, 12206 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12200 and 12206 is 2.

GCF(12200,12206) = 2

GCF of 12200 and 12206

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 12200 and 12206

GCF of 12200 and 12206 is 2

Prime Factorization of 12200


2 12200
2 6100
2 3050
5 1525
5 305
61 61
1

Prime factors of 12200 are 2,5,61. Prime factorization of 12200 in exponential form is:

12200 = 23×52×611

Prime Factorization of 12206


2 12206
17 6103
359 359
1

Prime factors of 12206 are 2,17,359. Prime factorization of 12206 in exponential form is:

12206 = 21×171×3591

∴ So by taking common prime factors GCF of 12200 and 12206 is 2

Greatest Common Factor of 12200 and 12206 by matching factors method

Factors of 12200

List of positive integer factors of 12200 that divides 12200 without a remainder.

1,2,4,5,8,10,20,25,40,50,61,100,122,200,244,305,488,610,1220,1525,2440,3050,6100,12200

Factors of 12206

List of positive integer factors of 12206 that divides 12206 without a remainder.

1,2,17,34,359,718,6103,12206

Greatest Common Factor

We found the factors and prime factorization of 12200 and 12206. The biggest common factor number is the GCF number.
So the greatest common factor 12200 and 12206 is 2.

Also check out the Least Common Multiple of 12200 and 12206

Properties of GCF 12200 and 12206

(i) The GCF of 12200 and 12206 is associative

GCF of 12200 and 12206 = GCF of 12206 and 12200

Related Greatest Common Factor of 12200

Related Greatest Common Factor of 12206

Frequently Asked Questions on GCF of 12200 and 12206

1. What is the GCF of 12200 and 12206?

Answer: GCF of 12200 and 12206 is 2.

2. What are the Factors of 12200?

Answer: Factors of 12200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 200, 244, 305, 488, 610, 1220, 1525, 2440, 3050, 6100, 12200. There are 24 integers that are factors of 12200. The greatest factor of 12200 is 12200.

3. What are the Factors of 12206?

Answer: Factors of 12206 are 1, 2, 17, 34, 359, 718, 6103, 12206. There are 8 integers that are factors of 12206. The greatest factor of 12206 is 12206.

4. How to Find the GCF of 12200 and 12206?

Answer:

Greatest Common Factor of 12200 and 12206 = 2

Step 1: Find the prime factorization of 12200

12200 = 2 x 2 x 2 x 5 x 5 x 61

Step 2: Find the prime factorization of 12206

12206 = 2 x 17 x 359

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 12200 and 12206 is 2